Dynamic Analysis and Implementation of FPGA for a New 4D Fractional-Order Memristive Hopfield Neural Network

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(2), P. 115 - 115

Published: Feb. 13, 2025

Memristor-based fractional-order chaotic systems can record information from the past, present, and future, describe real world more accurately than integer-order systems. This paper proposes a novel memristor model verifies its characteristics through pinched loop (PHL) method. Subsequently, new memristive Hopfield neural network (4D-FOMHNN) is introduced to simulate induced current, accompanied by Caputo’s definition of fractional order. An Adomian decomposition method (ADM) employed for system solution. By varying parameters order 4D-FOMHNN, rich dynamic behaviors including transient chaos, coexistence attractors are observed using methods such as bifurcation diagrams Lyapunov exponent analysis. Finally, proposed FOMHNN implemented on field-programmable gate array (FPGA), oscilloscope observation results consistent with MATLAB numerical simulation results, which further validate theoretical analysis provide basis application in field encryption.

Language: Английский

---

Discrete-time fractional-order local active memristor-based Hopfield neural network and its FPGA implementation

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 193, P. 116053 - 116053

Published: Feb. 6, 2025

Language: Английский

---

Non-bifurcation regulation of chaos in a memristive Hopfield neural network

Nonlinear Dynamics, Journal Year: 2025, Volume and Issue: unknown

Published: Feb. 14, 2025

Language: Английский

---

Dynamic analysis of multi-spiral chaotic inertia model with a cyclic configuration involving four homogeneous HNN cells: stability analysis, analog and digital verifications

Cognitive Neurodynamics, Journal Year: 2025, Volume and Issue: 19(1)

Published: April 18, 2025

Language: Английский

---

Chaos, synchronization, and emergent behaviors in memristive hopfield networks: bi-neuron and regular topology analysis

The European Physical Journal Special Topics, Journal Year: 2024, Volume and Issue: unknown

Published: Aug. 16, 2024

Language: Английский

---

Symmetric Pseudo-Multi-Scroll Attractor and Its Application in Mobile Robot Path Planning

Symmetry, Journal Year: 2024, Volume and Issue: 16(7), P. 868 - 868

Published: July 9, 2024

The symmetric multi-scroll strange attractor has shown great potential in chaos-based applications due to its high complexity phase space. Here, the approach of symmetrization is employed for doubling generate pseudo-multi-scroll attractors a discrete map, where carefully selected offset constant key organizing coexisting attractors. By choosing Hénon map and implementing digital circuit on microcontroller, this study fills significant gap research chaotic systems. performance further validated using pseudo-random number generator, demonstrating substantial academic contributions field chaos theory. Additionally, attractor-based squirrel search algorithm first developed, showcasing practical application mobile robot path planning. This work not only advances theoretical understanding systems but also provides methods implementation systems, offering valuable insights policy-making advanced robotic intelligent manufacturing.

Language: Английский

---

Chaos in chains: Exploring a novel supply chain model through bifurcation analysis, multi-stability and complete synchronization via backstepping control

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 11, P. 100866 - 100866

Published: Aug. 14, 2024

Language: Английский

---

Robust double encryption and watermarking algorithms for color watermark images

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(12), P. 125263 - 125263

Published: Nov. 12, 2024

Abstract Current digital watermarking technologies mainly focus on the imperceptibility and robustness of watermark embedding, while security images is also worth further research. Considering nonlinear characteristics integration structure storage computation, memristors can be introduced into encryption algorithms to improve effect encryption. The paper proposes a double algorithm for color based MCNN (Memristive Cellular Neural Networks) Arnold transform, generates chaotic sequences image by introducing CNN (Cellular construct MCNN, scrambles using transform achieve pixel values positions, enhances images. Adopting SE (Spectral Entropy) complexity optimizes parameters improves performance algorithm. embedding extraction encrypted realized combining CT (Contourlet Transform) SVD (Singular Value Decomposition), which ability resist common attacks such as compression rotation attacks. Experiment results show proposed better maintain quality images, break statistical original generated key has good randomness. In addition, presented are highly sensitive key, attacks, differential exhaustive with security, imperceptibility.

Language: Английский

---

Finite-time region-partitioning intermittent stabilization of memristor-based neural networks and its application

Applied Mathematical Modelling, Journal Year: 2024, Volume and Issue: unknown, P. 115847 - 115847

Published: Nov. 1, 2024

Language: Английский

---